Measure-differential inclusions in percussional dynamics.
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.
Monotone iterative method for semilinear impulsive evolution equations of mixed type in Banach spaces.
Multi-type synchronization of impulsive coupled oscillators via topology degree
The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating periodic solutions...